A cylindrical capacitor has radii a and b as shown in the figure below. Show that half the stored electric potential energy lies within a cylinder whose radius is r= Vab.

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A cylindrical capacitor has radii a and b as shown in the figure below. Show that half the stored
electric potential energy lies within a cylinder whose radius is r= vab.
A plane of dielectric with an infinitely large area and a finite thickness in the presence
of a uniform electric field El. The angle between the electric field E1 and the normal
vector n is 01. The dielectric constants of vacuum and dielectric are e, and &
respectively. Prove that: €, tan@1- e tan02 (Using boundary condition)
Eş
N m2
Prove that
C2
Vm
C
Transcribed Image Text:A cylindrical capacitor has radii a and b as shown in the figure below. Show that half the stored electric potential energy lies within a cylinder whose radius is r= vab. A plane of dielectric with an infinitely large area and a finite thickness in the presence of a uniform electric field El. The angle between the electric field E1 and the normal vector n is 01. The dielectric constants of vacuum and dielectric are e, and & respectively. Prove that: €, tan@1- e tan02 (Using boundary condition) Eş N m2 Prove that C2 Vm C
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